What is the Least Common Multiple of 95658 and 95666?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 95658 and 95666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95658 and 95666, than apply into the LCM equation.

GCF(95658,95666) = 2
LCM(95658,95666) = ( 95658 × 95666) / 2
LCM(95658,95666) = 9151218228 / 2
LCM(95658,95666) = 4575609114

Least Common Multiple (LCM) of 95658 and 95666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95658 and 95666. First we will calculate the prime factors of 95658 and 95666.

Prime Factorization of 95658

Prime Factorization of 95666

Now multiplying the highest exponent prime factors to calculate the LCM of 95658 and 95666.

LCM(95658,95666) = 2¹ × 3¹ × 107¹ × 149¹ × 31¹ × 1543¹
LCM(95658,95666) = 4575609114